Leigh Griffiths netted a 72nd-minute penalty to end a four-match unbeaten run for the Scottish Communities League Cup finalists.
However, he was fortunate to be handed the opportunity, with referee Willie Collum's decision to penalise Jim Goodwin for a challenge on on-loan Barnsley winger Matt Done exceptionally generous.
Lennon, though, refused to vent his true feelings until he had had a chance to review the incident.
"I didn't see it at the time, the fourth official was standing in my way," he claimed. "But when I saw the ball come in I didn't think there was any apparent danger.
"We seem to be getting conflicting stories from the officials. Until I see it again, that's as much as I'll say on it."
Lennon, whose team remain second-bottom of the SPL, admitted that the penalty call aside, Hibs were the better side.
He added: "I was very disappointed with the manner in which we went about our business.
"A great deal of credit must go to Hibs for them coming here and stopping us playing. It's very uncharacteristic you get a group of players and 11 of them have an off day at the same time.
"We'll just put this down as a bad day at the office. We now have seven games left and we must now take each one as it comes and make sure we try and hit a run and then achieve our ambition of making it into that top six. It's going to be difficult but not beyond our means."